Important Questions

CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Kalpesh Gupta

CBSE CLASS XII

Algebra of Matrices

Q. 1. If

 and

, Prove that


Q. 2.If 

, find x and y such that

Q. 3.Let f(x) = x2 – 5x + 6. Find f(A) if

Q. 4.Let A and two matricessuch that they commute. Show that for any positive integer n (AB)n = An Bn.

Q. 5.Find the value of x, if


Q. 6.Prove that every square matrix can be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric. Hence represent

as above.

Q. 7.Using elementary row transformation find the inverse of the matrix

Paper By Mr. Kalpesh Gupta
Email Id : [email protected]